What is the general solution for tan(θ)= 3/(-2) ?

The general solution for tan(θ)= 3/(-2) is θ=-0.98279…+pin

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tan(θ)= 3/(-2)

tan (θ) = \frac{3}{- 2}

θ = - 0.98279 \dots + πn

Degrees

θ = - 56.30993 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{3}{- 2}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

tan (θ) = - \frac{3}{2}

Apply trig inverse properties

tan (θ) = - \frac{3}{2}

General solutions for

tan (θ) = - \frac{3}{2}

tan (x) = - a \Rightarrow x = arctan (- a) + πn

θ = arctan (- \frac{3}{2}) + πn

θ = arctan (- \frac{3}{2}) + πn

Show solutions in decimal form

θ = - 0.98279 \dots + πn

4 sin^{2} (r) - sin (r) = 0

tan (θ) = \frac{3}{- 3}

cos (a) = 0.24

sin (x) = 1 5^{\circ}

cos (a) = 0.42

What is the general solution for tan(θ)= 3/(-2) ?
The general solution for tan(θ)= 3/(-2) is θ=-0.98279…+pin